The batting average of a cricket player for 40 innings is 60 runs. His highest score in an innings exceeds his lowest score by 110 runs. If these two innings are excluded, the average score of the remaining 38 innings is 58 runs. Find his highest score.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 153.
Let the highest and lowest scores of the cricketer be H and L respectively.
Given, H - L = 110 ...(i)
Sum of runs in 40 innings = 40 × 60 = 2400
Sum of runs of 38 innings = 38 × 58 = 2204
Now, H + L = 2400 - 2204
⇒ H + L = 196 ...(ii)
Solving equations (i) and (ii), 2H = 306
⇒ H = 153